Results 71 to 80 of about 2,438 (123)

Optimal Gevrey Regularity for Supercritical Quasi-Geostrophic Equations

open access: yesCommunications in Mathematical Physics
AbstractWe consider the two dimensional surface quasi-geostrophic equations with super-critical dissipation. For large initial data in critical Sobolev and Besov spaces, we prove optimal Gevrey regularity endowed with the same decay exponent as the linear part.
openaire   +2 more sources

Analytical smoothing effect of solution for the boussinesq equations

open access: yes, 2017
In this paper, we study the analytical smoothing effect of Cauchy problem for the incompressible Boussinesq equations. Precisely, we use the Fourier method to prove that the Sobolev H 1-solution to the incompressible Boussinesq equations in periodic ...
Cheng, F, Xu, C. -J
core   +1 more source

Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]

open access: yesResults Math, 2023
Jiménez-Garrido J   +3 more
europepmc   +1 more source

Derivative loss for Kirchhoff equations with non-Lipschitz nonlinear term

open access: yes, 2009
In this paper we consider the Cauchy boundary value problem for the abstract Kirchhoff equation with a continuous nonlinearity m : [0,+\infty) --> [0,+\infty).
Ghisi, Marina, Gobbino, Massimo
core  

On nonlinear Landau damping and Gevrey regularity

open access: yesNonlinear Analysis
In this article we study the problem of nonlinear Landau damping for the Vlasov-Poisson equations on the torus. As our main result we show that for perturbations initially of size $ε>0$ and time intervals $(0,ε^{-N})$ one obtains nonlinear stability in regularity classes larger than Gevrey $3$, uniformly in $ε$.
openaire   +2 more sources

Anomaly Non-renormalization in Interacting Weyl Semimetals. [PDF]

open access: yesCommun Math Phys, 2021
Giuliani A, Mastropietro V, Porta M.
europepmc   +1 more source

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